13004400 has 60 divisors (see below), whose sum is σ = 41661272. Its totient is φ = 3467520.

The previous prime is 13004393. The next prime is 13004449. The reversal of 13004400 is 440031.

13004400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13004400² = 338228838720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4219 + ... + 6618.

Almost surely, 2^13004400 is an apocalyptic number.

13004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004400 is an abundant number, since it is smaller than the sum of its proper divisors (28656872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13004400 is a wasteful number, since it uses less digits than its factorization.

13004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13004400 is about 3606.1613940588. The cubic root of 13004400 is about 235.1599936583.

Adding to 13004400 its reverse (440031), we get a palindrome (13444431).

The spelling of 13004400 in words is "thirteen million, four thousand, four hundred".